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Finding the Fourth Proportional to 32,596.16, 44,982.69 and 17,692.16

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Solution

The fourth proportional to 32,596.16, 44,982.69 and 17,692.16 is: 24,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.16 : 44,982.69 = 17,692.16 : x
  2. Step 2: Convert to fraction form
    32,596.16/44,982.69 = 17,692.16/x
  3. Step 3: Cross multiply
    32,596.16x = 44,982.69 × 17,692.16
  4. Step 4: Simplify right side
    32,596.16x = 795,840,948.71
  5. Step 5: Solve for x
    x = 795,840,948.71/32,596.16
  6. Step 6: Final answer
    x = 24,415.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.